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Finding the Fourth Proportional to 329,422.90, 493,150.20 and 196,234.60

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Solution

The fourth proportional to 329,422.90, 493,150.20 and 196,234.60 is: 293,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,422.90 : 493,150.20 = 196,234.60 : x
  2. Step 2: Convert to fraction form
    329,422.90/493,150.20 = 196,234.60/x
  3. Step 3: Cross multiply
    329,422.90x = 493,150.20 × 196,234.60
  4. Step 4: Simplify right side
    329,422.90x = 96,773,132,236.92
  5. Step 5: Solve for x
    x = 96,773,132,236.92/329,422.90
  6. Step 6: Final answer
    x = 293,765.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.